36294822144 has 495 divisors, whose sum is σ = 126775509203. Its totient is φ = 10369949184.

The previous prime is 36294822107. The next prime is 36294822229. The reversal of 36294822144 is 44122849263.

The square root of 36294822144 is 190512.

It is a perfect power (a square), and thus also a powerful number.

36294822144 is a `hidden beast` number, since 3 + 6 + 29 + 482 + 2 + 144 = 666.

It is a super-3 number, since 3×36294822144³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (663552) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 36294822144.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 54 ways as a sum of consecutive naturals, for example, 5184974589 + ... + 5184974595.

Almost surely, 2^36294822144 is an apocalyptic number.

36294822144 is the 190512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36294822144

36294822144 is an abundant number, since it is smaller than the sum of its proper divisors (90480687059).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36294822144 is an frugal number, since it uses more digits than its factorization.

36294822144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 12 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 36294822144 in words is "thirty-six billion, two hundred ninety-four million, eight hundred twenty-two thousand, one hundred forty-four".